736866 has 48 divisors (see below), whose sum is σ = 1782144. Its totient is φ = 218592.

The previous prime is 736847. The next prime is 736867. The reversal of 736866 is 668637.

736866 = T₂₂₀ + T₂₂₁ + ... + T₂₄₆.

It is a happy number.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 736866.

It is not an unprimeable number, because it can be changed into a prime (736867) by changing a digit.

736866 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10965 + ... + 11031.

It is an arithmetic number, because the mean of its divisors is an integer number (37128).

2⁷³⁶⁸⁶⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 736866, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (891072).

736866 is an abundant number, since it is smaller than the sum of its proper divisors (1045278).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

736866 is a wasteful number, since it uses less digits than its factorization.

736866 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 132 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 736866 is about 858.4089934291. The cubic root of 736866 is about 90.3225463655.

The spelling of 736866 in words is "seven hundred thirty-six thousand, eight hundred sixty-six".